MinT - Information on Result #2809368

Information on Result #2809368

Linear OOA(2¹⁶⁶, 52, F₂, 4, 90) (dual of [(52, 4), 42, 91]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁶, 52, F₂, 4, 91) (dual of [(52, 4), 42, 92]-NRT-code), using

constructionÂ X applied to AG(4;F,96P) âŠ‚ AG(4;F,106P) [i] based on
1. linear OOA(2¹⁵⁶, 47, F₂, 4, 91) (dual of [(47, 4), 32, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,96P) [i] based on function field F/F₂ with g(F) = 65 and N(F) ≥ 48, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(2¹⁴⁶, 47, F₂, 4, 81) (dual of [(47, 4), 42, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,106P) [i] based on function field F/F₂ with g(F) = 65 and N(F) ≥ 48 (see above)
3. linear OOA(2¹⁰, 5, F₂, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.